 
Summary:
SEVERAL PROBLEMS IN OPERATOR THEORY
WILLIAM ARVESON
1. Introduction
We discuss some problems and conjectures in higher dimensional operator
theory. These all have something to do with the basic problem of developing
an effective Fredholm theory of dcontractions, and completing the index
theorem that was partially established in Theorem B of [Arv02 ], following up
on [Arv00 ]. My opinion is that good progress on any one of these problems
will be a significant advance, if not a breakthrough.
